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Finding the Fourth Proportional to 47,475.62, 65,490.32 and 30,460.87

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Solution

The fourth proportional to 47,475.62, 65,490.32 and 30,460.87 is: 42,019.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,475.62 : 65,490.32 = 30,460.87 : x
  2. Step 2: Convert to fraction form
    47,475.62/65,490.32 = 30,460.87/x
  3. Step 3: Cross multiply
    47,475.62x = 65,490.32 × 30,460.87
  4. Step 4: Simplify right side
    47,475.62x = 1,994,891,644.02
  5. Step 5: Solve for x
    x = 1,994,891,644.02/47,475.62
  6. Step 6: Final answer
    x = 42,019.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.